SOLUTION: Dear Sir/Madam: This is from a worksheet that I received from the teacher. Origination unknown. The denominator of a fraction is one more than the numerator. When 4 is added to

Question 103173: Dear Sir/Madam:
This is from a worksheet that I received from the teacher. Origination unknown.
The denominator of a fraction is one more than the numerator. When 4 is added to the numerator and 6 is added to the denominator the result equals 3/4. Find the fraction.
this is what I have: x/x+1 + 4/6 = (x + 4)/(1x + 6) = 4 / 2x + 7
I feel stuck. What did I not capture correctly out of the word problem?
Thank you so very much.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The denominator of a fraction is one more than the numerator. When 4 is added to the numerator and 6 is added to the denominator the result equals 3/4. Find the fraction.
this is what I have: , this is right
:
Right here you should have:
=
:
=
:
Cross multiply and you have:
4(x+4) = 3(x+7)
:
4x + 16 = 3x + 21
4x - 3x = 21 - 16
:
x = 5
:
:
Checking our solution using the original statement:
=
=

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